Gravitational waves and dragging effects

Abstract

Linear and rotational dragging effects of gravitational waves on local inertial frames are studied in purely vacuum spacetimes. First the linear dragging caused by a simple cylindrical pulse is investigated. Surprisingly strong transversal effects of the pulse are exhibited. The angular momentum in cylindrically symmetric spacetimes is then defined and confronted with some results in literature. In the main part, the general procedure is developed for studying weak gravitational waves with translational but not axial symmetry which can carry angular momentum. After a suitable averaging the rotation of local inertial frames due to such rotating waves can be calculated explicitly and illustrated graphically. This is done in detail in the accompanying paper. Finally, the rotational dragging is given for strong cylindrical waves interacting with a rotating cosmic string with a small angular momentum.

Scheduled to appear in Class. Quantum Grav. July 2008

References in corpus (16)

• Asymptotic Structure of Symmetry Reduced General Relativity
• On "asymptotically flat" space-times with $G_2$-invariant Cauchy surfaces
• A Striking Property of the Gravitational Hamiltonian
• Behavior of Einstein-Rosen Waves at Null Infinity
• On the definition of cylindrical symmetry
• Can one detect a non-smooth null infinity?
• On the motion of spinning test particles in plane gravitational waves
• On the influence of gravitational radiation on a gyroscope
• Cosmological perturbation theory, instantaneous gauges and local inertial frames
• Gravitational waves and spinning test particles
• Do Rotations Beyond the Cosmological Horizon Affect the Local Inertial Frame?
• Instantaneous Inertial Frame but Retarded Electromagnetism in Rotating Relativistic Collapse
• Inertial frame rotation induced by rotating gravitational waves
• Gauge fixing and the Hamiltonian for cylindrical spacetimes
• Asymptotic behaviour of cylindrical waves interacting with spinning strings
• Toroidal Perturbations of Friedmann-Robertson-Walker Universes

Cited by in corpus (7)

• Mach's principle: Exact frame-dragging via gravitomagnetism in perturbed Friedmann-Robertson-Walker universes with $K=(\pm 1,0)$
• Inertial frame rotation induced by rotating gravitational waves
• Effects of rotating gravitational waves
• Construction and application of variations on the cylindrical gravitational waves of Weber, Wheeler, and Bonnor
• Rotation of inertial frames by angular momentum of matter and waves
• Charged cosmic strings interacting with gravitational and electromagnetic waves
• Dragging of inertial frames by matter and waves